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Finding the Fourth Proportional to 11,837.40, 16,334.94 and 7,361.40

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Solution

The fourth proportional to 11,837.40, 16,334.94 and 7,361.40 is: 10,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.40 : 16,334.94 = 7,361.40 : x
  2. Step 2: Convert to fraction form
    11,837.40/16,334.94 = 7,361.40/x
  3. Step 3: Cross multiply
    11,837.40x = 16,334.94 × 7,361.40
  4. Step 4: Simplify right side
    11,837.40x = 120,248,027.32
  5. Step 5: Solve for x
    x = 120,248,027.32/11,837.40
  6. Step 6: Final answer
    x = 10,158.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.